Bilbao Crystallographic Server arrow MWYCKPOS arrow Wyckoff Positions of Magnetic Space Groups Help

Wyckoff Positions of the Group Ia-3d' (#230.148)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: Ia-3d' (#230.4.1650)

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) + (1/2,1/2,1/2) +  
96h
(x,y,z | mx,my,mz) (x+1/4,-z+1/4,y+3/4 | -mx,mz,-my)
(x+3/4,z+1/4,-y+1/4 | -mx,-mz,my) (z+3/4,y+1/4,-x+1/4 | -mz,-my,mx)
(-z+1/4,y+3/4,x+1/4 | mz,-my,-mx) (-y+1/4,x+3/4,z+1/4 | my,-mx,-mz)
(y+1/4,-x+1/4,z+3/4 | -my,mx,-mz) (x,-y,-z+1/2 | mx,-my,-mz)
(-x+1/2,y,-z | -mx,my,-mz) (-x,-y+1/2,z | -mx,-my,mz)
(y+3/4,x+1/4,-z+1/4 | -my,-mx,mz) (-y+1/4,-x+1/4,-z+1/4 | my,mx,mz)
(-x+1/4,z+3/4,y+1/4 | mx,-mz,-my) (-x+1/4,-z+1/4,-y+1/4 | mx,mz,my)
(z+1/4,-y+1/4,x+3/4 | -mz,my,-mx) (-z+1/4,-y+1/4,-x+1/4 | mz,my,mx)
(z,x,y | mz,mx,my) (y,z,x | my,mz,mx)
(-y+1/2,z,-x | -my,mz,-mx) (-z,-x+1/2,y | -mz,-mx,my)
(-y,-z+1/2,x | -my,-mz,mx) (z,-x,-y+1/2 | mz,-mx,-my)
(y,-z,-x+1/2 | my,-mz,-mx) (-z+1/2,x,-y | -mz,mx,-my)
(-x,-y,-z | mx,my,mz) (-x+1/4,z+1/4,-y+3/4 | -mx,mz,-my)
(-x+3/4,-z+1/4,y+1/4 | -mx,-mz,my) (-z+3/4,-y+1/4,x+1/4 | -mz,-my,mx)
(z+1/4,-y+3/4,-x+1/4 | mz,-my,-mx) (y+1/4,-x+3/4,-z+1/4 | my,-mx,-mz)
(-y+1/4,x+1/4,-z+3/4 | -my,mx,-mz) (-x,y,z+1/2 | mx,-my,-mz)
(x+1/2,-y,z | -mx,my,-mz) (x,y+1/2,-z | -mx,-my,mz)
(-y+3/4,-x+1/4,z+1/4 | -my,-mx,mz) (y+1/4,x+1/4,z+1/4 | my,mx,mz)
(x+1/4,-z+3/4,-y+1/4 | mx,-mz,-my) (x+1/4,z+1/4,y+1/4 | mx,mz,my)
(-z+1/4,y+1/4,-x+3/4 | -mz,my,-mx) (z+1/4,y+1/4,x+1/4 | mz,my,mx)
(-z,-x,-y | mz,mx,my) (-y,-z,-x | my,mz,mx)
(y+1/2,-z,x | -my,mz,-mx) (z,x+1/2,-y | -mz,-mx,my)
(y,z+1/2,-x | -my,-mz,mx) (-z,x,y+1/2 | mz,-mx,-my)
(-y,z,x+1/2 | my,-mz,-mx) (z+1/2,-x,y | -mz,mx,-my)
48g
(1/8,y,-y+1/4 | mx,my,my) (3/8,y,y+3/4 | -mx,my,-my)
(7/8,-y+1/2,-y+1/4 | -mx,-my,my) (-y,y+1/4,1/8 | -my,-my,mx)
(y,y+3/4,3/8 | my,-my,-mx) (-y+1/4,7/8,-y+1/2 | my,-mx,-my)
(y+1/4,1/8,-y | -my,mx,-my) (1/8,-y,y+1/4 | mx,-my,-my)
(y+3/4,3/8,y | -my,-mx,my) (-y+1/4,1/8,y | my,mx,my)
(-y+1/2,-y+1/4,7/8 | -my,my,-mx) (y,-y+1/4,1/8 | my,my,mx)
(7/8,-y,y+3/4 | mx,my,my) (5/8,-y,-y+1/4 | -mx,my,-my)
(1/8,y+1/2,y+3/4 | -mx,-my,my) (y,-y+3/4,7/8 | -my,-my,mx)
(-y,-y+1/4,5/8 | my,-my,-mx) (y+3/4,1/8,y+1/2 | my,-mx,-my)
(-y+3/4,7/8,y | -my,mx,-my) (7/8,y,-y+3/4 | mx,-my,-my)
(-y+1/4,5/8,-y | -my,-mx,my) (y+3/4,7/8,-y | my,mx,my)
(y+1/2,y+3/4,1/8 | -my,my,-mx) (-y,y+3/4,7/8 | my,my,mx)
48f
(x,0,1/4 | mx,0,0) (x+1/4,0,3/4 | -mx,0,0)
(0,1/4,-x+1/4 | 0,0,mx) (0,3/4,x+1/4 | 0,0,-mx)
(1/4,x+3/4,1/2 | 0,-mx,0) (1/4,-x+1/4,0 | 0,mx,0)
(-x+1/2,0,3/4 | -mx,0,0) (-x+1/4,0,1/4 | mx,0,0)
(1/4,x,0 | 0,mx,0) (0,1/4,x | 0,0,mx)
(0,3/4,-x+1/2 | 0,0,-mx) (1/4,-x,1/2 | 0,-mx,0)
(-x,0,3/4 | mx,0,0) (-x+1/4,1/2,3/4 | -mx,0,0)
(1/2,1/4,x+1/4 | 0,0,mx) (1/2,3/4,-x+1/4 | 0,0,-mx)
(1/4,-x+3/4,0 | 0,-mx,0) (1/4,x+1/4,1/2 | 0,mx,0)
(x+1/2,0,1/4 | -mx,0,0) (x+1/4,1/2,1/4 | mx,0,0)
(3/4,-x,0 | 0,mx,0) (0,3/4,-x | 0,0,mx)
(0,1/4,x+1/2 | 0,0,-mx) (3/4,x,1/2 | 0,-mx,0)
32e
(x,x,x | mx,mx,mx) (x+1/4,-x+1/4,x+3/4 | -mx,mx,-mx)
(x+3/4,x+1/4,-x+1/4 | -mx,-mx,mx) (-x+1/4,x+3/4,x+1/4 | mx,-mx,-mx)
(x,-x,-x+1/2 | mx,-mx,-mx) (-x+1/2,x,-x | -mx,mx,-mx)
(-x,-x+1/2,x | -mx,-mx,mx) (-x+1/4,-x+1/4,-x+1/4 | mx,mx,mx)
(-x,-x,-x | mx,mx,mx) (-x+1/4,x+1/4,-x+3/4 | -mx,mx,-mx)
(-x+3/4,-x+1/4,x+1/4 | -mx,-mx,mx) (x+1/4,-x+3/4,-x+1/4 | mx,-mx,-mx)
(-x,x,x+1/2 | mx,-mx,-mx) (x+1/2,-x,x | -mx,mx,-mx)
(x,x+1/2,-x | -mx,-mx,mx) (x+1/4,x+1/4,x+1/4 | mx,mx,mx)
24d
(3/8,0,1/4 | 0,0,0) (5/8,0,3/4 | 0,0,0)
(0,1/4,7/8 | 0,0,0) (0,3/4,5/8 | 0,0,0)
(3/4,5/8,0 | 0,0,0) (3/4,3/8,1/2 | 0,0,0)
(1/8,0,3/4 | 0,0,0) (7/8,0,1/4 | 0,0,0)
(1/4,3/8,0 | 0,0,0) (0,1/4,3/8 | 0,0,0)
(0,3/4,1/8 | 0,0,0) (1/4,5/8,1/2 | 0,0,0)
24c
(1/8,0,1/4 | mx,0,0) (3/8,0,3/4 | -mx,0,0)
(0,1/4,1/8 | 0,0,mx) (0,3/4,3/8 | 0,0,-mx)
(1/4,7/8,1/2 | 0,-mx,0) (1/4,1/8,0 | 0,mx,0)
(7/8,0,3/4 | mx,0,0) (5/8,0,1/4 | -mx,0,0)
(0,3/4,7/8 | 0,0,mx) (0,1/4,5/8 | 0,0,-mx)
(3/4,1/8,1/2 | 0,-mx,0) (3/4,7/8,0 | 0,mx,0)
16b
(1/8,1/8,1/8 | mx,mx,mx) (3/8,1/8,7/8 | -mx,mx,-mx)
(7/8,3/8,1/8 | -mx,-mx,mx) (1/8,7/8,3/8 | mx,-mx,-mx)
(7/8,7/8,7/8 | mx,mx,mx) (5/8,7/8,1/8 | -mx,mx,-mx)
(1/8,5/8,7/8 | -mx,-mx,mx) (7/8,1/8,5/8 | mx,-mx,-mx)
16a
(0,0,0 | mx,mx,mx) (1/4,1/4,3/4 | -mx,mx,-mx)
(3/4,1/4,1/4 | -mx,-mx,mx) (1/4,3/4,1/4 | mx,-mx,-mx)
(0,0,1/2 | mx,-mx,-mx) (1/2,0,0 | -mx,mx,-mx)
(0,1/2,0 | -mx,-mx,mx) (1/4,1/4,1/4 | mx,mx,mx)

Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
16a(0,0,0 | mx,mx,mx).-3.
16b(1/8,1/8,1/8 | mx,mx,mx).32'
24c(1/8,0,1/4 | mx,0,0)2.2'2'
24d(3/8,0,1/4 | 0,0,0)-4'..
32e(x,x,x | mx,mx,mx).3.
48f(x,0,1/4 | mx,0,0)2..
48g(1/8,y,-y+1/4 | mx,my,my)..2'
96h(x,y,z | mx,my,mz)1

List the original elements of the orbits
List all the elements of the orbits

Go to the list of the Symmetry Operators of the Group Ia-3d' (#230.148)
Go to the Systematic absences for the Group Ia-3d' (#230.148)

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